Eur. Phys. J. B 5, 583-588 (1998)
https://doi.org/10.1007/s100510050482

Diagonalization of the elliptic Ruijsenaars model. Correspondence with the Belavin model ^*

Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7-3-1, Bunkyo, Tokyo 113-0033, Japan

Corresponding authors: ^a This email address is being protected from spambots. You need JavaScript enabled to view it. - ^b This email address is being protected from spambots. You need JavaScript enabled to view it.

Received: 29 January 1998
Accepted: 17 April 1998
Published online: 15 October 1998

Abstract

Studied is the elliptic Ruijsenaars model, which is a difference analogue of the Calogero-Sutherland-Moser model. Using a novel relationship between the elliptic Ruijsenaars operator and the transfer matrix of the Belavin model, we diagonalize the Ruijsenaars operator by the algebraic Bethe ansatz method.